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Finding the Fourth Proportional to 70.36, 105.43 and 68.51

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Solution

The fourth proportional to 70.36, 105.43 and 68.51 is: 102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.36 : 105.43 = 68.51 : x
  2. Step 2: Convert to fraction form
    70.36/105.43 = 68.51/x
  3. Step 3: Cross multiply
    70.36x = 105.43 × 68.51
  4. Step 4: Simplify right side
    70.36x = 7,223.01
  5. Step 5: Solve for x
    x = 7,223.01/70.36
  6. Step 6: Final answer
    x = 102.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.